Device history based delay variation adjustment during static timing analysis

ABSTRACT

A system and method for the adjustment of history based delay variation during static timing analysis of an integrated circuit design. The method may include obtaining information through sources of variability of history based components of delay variability, and a relationship between the sources of variability and one or more bounded device histories. Then, inputting history bounds for at least one signal of the integrated circuit design, and computing and propagating history bounds through at least one first segment of the integrated circuit design to at least one signal of the integrated circuit design. Further, the method may include evaluating from at least one of the propagated history bounds, device history bounds for at least one second segment of the integrated circuit design, and based on the evaluated device history bounds, adjusting at least one of a value of the history based delay variability and propagation of timing.

BACKGROUND

1. Technical Field

The disclosure relates generally to a system and method for statictiming, and more particularly to a system and method for adjustment ofmodeled delay variation as a function of past device state and/orswitching history during static timing analysis.

2. Background Art

One dominant form of performance analysis used during integrated circuit(IC) design is static timing analysis (STA). STA is an important processby which one identifies any circuit races/hazards which could cause achip to malfunction, verifies the operational speed of a chip, andidentifies the paths which limit the operational speed. STA typicallyoperates on a timing graph, in which nodes represent electrical nodes(e.g., circuit pins) at which signals may make transitions at varioustimes, and edges, or “propagate segments,” representing the delays ofthe circuits and/or wires connecting the nodes. Although it may reportperformance-limiting paths, typical STA methods do not actually operateon paths (of which there may be an exponentially large number), andinstead use a “block-based” approach to compute and propagate forwardsignal arrival times reflecting the earliest and/or latest possibletimes that signal transitions can occur at nodes in the timing graph. Asa result, STA is extremely efficient, allowing for rapid estimation ofIC timing on very large designs as compared to other approaches (e.g.transient simulation). STA also provides accurate timing estimateswithout any knowledge of the function of the design being timed, andtherefore can operate in the absence of any specific input signals.However, this last trait makes STA particularly sensitive to delayvariation resulting from the past device state and/or switching history,as it results in a lack of availability of information regarding theprior state and/or switching history of the modeled devices. The pastdevice state and/or switching history of a device will hereafter bereferred to as ‘device history’, or simply ‘history’.

An important aspect of STA is evaluation of timing tests, which arerequired ordering relationships between the arrival of signals onconverging paths. Common examples of timing tests are setup tests (oftenrepresented in a timing graph as “test segments”), requiring that a datasignal at an input of a flip-flop or other memory element becomes stablefor some setup period before the clock signal transition that storesthat data (i.e., that the latest possible data transition in a clockcycle occur at least the required setup period before the earliestpossible clock transition for that cycle), and hold tests, requiringthat a data signal at an input of a flip-flop or other memory elementremain stable for some hold period before the clock signal transitionthat stores that data (i.e., that the earliest possible data transitionin a clock cycle occur at least the required hold period after thelatest possible clock transition for the preceding clock cycle). Pairsof paths along which early and late arrival times compared in a timingtest are propagated are often referred to as racing paths.

Although STA is typically performed at a particular “corner,” which is aspecified combination of conditions such as voltage, temperature, andmanufacturing process that affect delays of circuits on a chip, localvariations in these and other parameters may cause variations in delaysof similar circuits in different locations on a chip. A common way toaccount for this variation in STA is to compute minimum and maximumdelays for circuits, using minimum (or fast) delays to determine earlysignal arrival times and maximum (or slow) delays to determine latesignal arrival times.

The aforementioned variations in device history can be one cause of suchdelay variation when digital IC's are manufactured using PartiallyDeleted (PD) Silicon on Insulator (SOI) technology, wherein the devicebody may be electrically insulated from the substrate. SOI technologycan provide benefits such as improved performance and reduced powerconsumption. However, drawbacks exist as well; one in particular beingthat devices with PD-SOI technology suffer from a history effect,wherein the performance of a given device can be a function of the statehistory of that device, as the varying charge stored on the floatingbody of the device dynamically alters the threshold voltage of thedevice during operation. One related art method of reducing pessimismdue to body charge in PD-SOI is described in U.S. Pat. No. 6,816,824,which also describes in more detail the manner in which the body chargevaries due to changes in device state, and which is incorporated hereinby reference. The '824 patent describes determining a range of possiblebody charge or voltage values for a device based on connectivity of adevice within a circuit (in particular whether it is tied to a powersupply rail), but assumes the most extreme range possible over allpossible device histories, and does not consider the actual possiblestate histories of the device.

An alternate example of delay variation occurring as a result of devicehistory would be switching history based temperature fluctuations.Switching of devices causes power dissipation and local self-heating ofthe devices (transistors and wires) conducting the switching signals. Adevice that switches rapidly generates more heat and will heat uprelative to its neighboring devices, and this change in temperature canalter the electrical characteristics, and hence the delay, of thosedevices. Because heat conduction on an integrated circuit is typicallyslow relative to the circuit switching speeds, this local change intemperature due to switching will typically persist for several clockcycles, so the delay change of a switching event due toswitching-induced self-heating will be a function of the switchinghistory over some number of clock cycles immediately preceding theswitching event.

Yet another example of delay variation due to device history is negativebias temperature instability (NBTI) in which cumulative switching oververy long periods (e.g., the life of the circuit) cause degradation inthe performance of PFETs. The degree of degradation depends on thecumulative number of times the device has switched. In this case, thetime window over which history must be considered is much longer thanfor PD-SOI body history or switching-induced self-heating.

Still another example of delay variation due to device history is thehot carrier effect, where the strong electric field across the gateinsulator of a conducting FET cause carriers to be injected into thegate insulator and trapped, causing a gradual change in the devicecharacteristics. The degree of degradation depends on the cumulativetime the device has been in the on state, and as with NBTI, the timewindow over which history must be considered is much longer than forPD-SOI body history or switching-induced self-heating.

In all of the preceding cases, some aspect of the history (e.g.,switching, state) of a circuit element (e.g., a wire or transistor) oversome preceding period (e.g., several clock cycles, or the entireoperating history of the device) causes an alteration in the delay ofthe device.

While sufficiently conservative to ensure working hardware, using afast/slow delay range that accounts for the full range of possibledevice history is typically overly pessimistic. While in some cases itmay be possible for the modeled fast/slow cases to simultaneously exist(and the timing must ensure functional hardware in this event), thiswill only rarely be the case. This pessimism places an artificialconstraint on the performance of the integrated circuits (ICs) produced,scaling back the potential physical performance as a result of designtool limitations. Therefore, it is desirable to have an approach thatcan leverage any available device history knowledge in order to adjustthe device history based delay component, typically with the goal ofreducing pessimism.

One related art means of reducing pessimism in STA is through the CommonPath Pessimism Removal (CPPR) approach described in U.S. Pat. Nos.5,636,372 and 7,117,466. CPPR removes the part or all of the fast/slowdelay difference from arrival time differences computed at timing testsbetween paths sharing common portions or parametric dependencies.However, CPPR requires enumeration of sub-paths with exponentialcomplexity, typically allowing only a subset of all possible paths to bechecked. As such, this approach is limited in application and is costly,and so it would be preferred to directly limit the pessimism in alltests during the base timing step. CPPR also applies only to pessimismdue to correlations between delays in racing paths, while more refinedknowledge of history may reduce the fast/slow delay range of a circuitindependent of its involvement in any racing paths. Note that this wouldalso reduce the number of tests and paths requiring CPPR as a result ofthe improved slacks it would generate in the base timing.

The illustrative aspects of the present disclosure are designed to solvethe problems herein described and/or other problems not discussed.

BRIEF SUMMARY

A first aspect of the disclosure provides a method for the adjustment ofthe component(s) of delay variation attributable to device historyduring STA as a function of bounds on the device history, typically forpessimism reduction. These bounds may be typically inferred from thepropagation of a signal with a bounded history, or propagated directly.This method may include steps for the propagation of the history boundsthrough the timing graph; evaluating if history bound propagation shouldterminate; calculation of an appropriate segment delay in the presenceof the propagated bounds; and based on at least one of the evaluations,evaluating arrival times on the segment such that any allowed adjustmentin the modeled delay variation as a function of history is provided.This adjustment includes scaling, the addition or subtraction ofmodifiers, a combination thereof, or any other operation that results insome change in the portion of delay attributable to device history.

A second aspect of the disclosure provides a program product stored on acomputer readable medium, which when executed, provides for theadjustment of history based delay variation during static timinganalysis of an integrated circuit design. In the second aspect, theprogram product may comprise: program code for obtaining informationthrough sources of variability, including at least one ofcharacterization and simulation, of one or more history based componentsof delay variability, and a relationship between the sources ofvariability and one or more bounded device histories; program code forinputting history bounds for at least one signal of the integratedcircuit design; program code for computing and propagating historybounds through at least one first segment of the integrated circuitdesign to at least one signal of the integrated circuit design; programcode for evaluating from at least one of the propagated history bounds,device history bounds for at least one second segment of the integratedcircuit design; and program code for, based on the evaluated devicehistory bounds, adjusting at least one of a value of the history baseddelay variability and propagation of timing through additional segmentsof the integrated circuit design.

A third aspect of the disclosure provides a system for the adjustment ofhistory based delay variation during STA. In the third aspect, thesystem may include a processor; a memory; and a static timing enginestored in the memory. The static timing engine may include instructionsoperable to be executed by the processor and execute methods of theinvention.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this disclosure will be more readilyunderstood from the following detailed description of the variousaspects of the disclosure taken in conjunction with the accompanyingdrawings that depict various embodiments of the disclosure, in which:

FIG. 1 shows an illustrative embodiment of a system for the adjustmentof device history based delay variation during STA;

FIG. 2 shows an illustrative embodiment of a method in flowchartpresentation for the adjustment of device history based delay variationduring STA; and

FIG. 3 shows a detailed illustrative embodiment of the historypropagation and delay variation adjustment steps, first introduced inFIG. 2.

It is noted that the drawings of the disclosure are not to scale. Thedrawings are intended to depict only typical aspects of the disclosure,and therefore should not be considered as limiting the scope of thedisclosure. In the drawings, like numbering represents like elementsbetween the drawings.

DETAILED DESCRIPTION

In illustrative embodiments of the invention, the fractionalcomponent(s) of the overall delay attributable to various aspects ofdevice history may be known, as is necessary for inclusion of theseeffects in the delay model. The related art describes mechanisms bywhich this history based delay variation occurs, and this knowledge isapplied during timing model generation to arrive at the historycontribution that accounts for history based delay variability. Thenduring STA, traditionally the full history based delay contribution isapplied to account for the history based variability, which can bepessimistic as noted above. This is necessary as STA precludes theavailability of any actual device history data. However, bounds mayexist on the signal history of signals feeding a device, and hence onthe amount of device history variation that is possible, and if thesehistory bounds are introduced into the timing graph and propagatedduring timing, the history based delay contribution may be adjusted(typically reduced to provide pessimism reduction). The magnitude of theallowed adjustment as a function of the propagated signal history boundsmay be determined using the same information that was originally used togenerate the device history based delay component.

As indicated above, the disclosure provides a system and method for theadjustment of device history based delay variation during STA. FIG. 1shows an illustrative embodiment of a system 10 for adjustment ofhistory based delay variation during the static timing. The illustrativesystem 10 includes a server 12 having a static timing engine 20 storedin memory 13.

Server 12 may include any computer architecture that will enable theserver 12 to communicate in a network by receiving and sending signals,such as a mainframe computer, desktop computer, Personal DigitalAssistant (PDA), a cellular phone, a handheld computer, a Voice overInternet Protocol (VoIP) station, etc.

Server 12 may include a processor 22, an input/output (I/O) 24, and amemory 13 for storing static timing engine 20 (e.g., as a programproduct that can be executed by processor 22). As is known in the art,in general, processor 22 executes computer program code that is storedin memory 13. While executing computer program code, processor 22 canread and/or write data, such as history and timing data, to/from memory13, and/or I/O interface 24. Bus 18 provides a communications linkbetween each of the components in server 12. I/O device 24 can compriseany device that enables a user to interact with server 12 or any devicethat enables server 12 to communicate with one or more other computingdevices. Input/output devices (including but not limited to keyboards,displays, pointing devices, etc.) can be coupled to the system eitherdirectly or through intervening I/O controllers.

In any event, server 12 can comprise any general purpose computingarticle of manufacture capable of executing computer program codeinstalled by a user (e.g., a personal computer, server, handheld device,etc.). However, it is understood that server 12 is only representativeof various possible equivalent computing devices that may perform thevarious process steps of the disclosure. To this extent, in otherembodiments, server 12 can comprise any specific purpose computingarticle of manufacture comprising hardware and/or computer program codefor performing specific functions, any computing article of manufacturethat comprises a combination of specific purpose and general purposehardware/software, or the like. In each case, the program code andhardware can be created using standard programming and engineeringtechniques, respectively.

Similarly, system 10 is only illustrative of various types of computerinfrastructures for implementing the disclosure. For example, in oneembodiment, system 10 may comprise two or more computing devices (e.g.,a server cluster) that communicate over any type of wired and/orwireless communications link, such as a network, a shared memory, or thelike, to perform the various process steps of the disclosure. When thecommunications link comprises a network, the network can comprise anycombination of one or more types of networks (e.g., the Internet, a widearea network, a local area network, a virtual private network, etc.).Network adapters may also be coupled to the system to enable the dataprocessing system to become coupled to other data processing systems orremote printers or storage devices through intervening private or publicnetworks. Modems, cable modems and Ethernet cards are just a few of thecurrently available types of network adapters. Regardless,communications between the computing devices may utilize any combinationof various types of transmission techniques.

It is understood that some of the various systems shown in FIG. 1 can beimplemented independently, combined, and/or stored in memory for one ormore separate computing devices that are included in system 10. Further,it is understood that some of the systems and/or functionality may notbe implemented, or additional systems and/or functionality may beincluded as part of system 10.

Static timing engine 20 may include a data capture system 21 and animplementation system 25 used, inter alia, to capture, manipulate, andimplement data for modeling technologies that exhibit history baseddelay variation.

FIG. 2 shows an illustrative embodiment of a method in flowchartpresentation for pessimism adjustment during the static timing oftechnologies that exhibit history based delay variation.

As shown in FIG. 2, in step 200 initial signal history bounds are inputor asserted for at least one signal of a circuit design under analysis.These bounds may be input for primary inputs of the design. The form ofthis history bound may depend on the history-dependent variation effectbeing considered. For example, to account for delay variation due toPD-SOI body charge of voltage variation or hot-carrier effects, historybounds for a signal may comprise a minimum and maximum possible dutycycle of the signal during any period of time during which significantPD-SOI body charge influences due to a past device state may persist, orduring the expected lifetime of the integrated circuit. The duty cycleof a digital signal is the fraction of the time the signal is high, or“true” during some specified period. For PD-SOI devices, this signalhistory can in turn be used to determine bounds on the period of time inwhich a PD-SOI device spent in certain states during any period of timeduring which significant PD-SOI body charge influences due to a pastdevice state may persist. For hot carrier effects, this signal historymay in turn be used to determine the fraction of the time that a deviceis turned on over an expected lifetime of the integrated circuit. Toaccount for delay, variation due to switching-induced self-heating, orNBTI, history bounds may comprise upper and lower bounds on the numberof switching events over any period of length comparable to the thermaltime constant of the self-heated element or over the expected lifetimeof the integrated circuit. For self-heating effects this signal historywill directly give the switching rate of the device over any period oflength comparable to the thermal time constant of the self-heatedelement. For NBTI effects, this signal history will directly give aswitching rate for a device, normalized to a clock frequency, over theexpected lifetime of the integrated circuit. In some circumstances, onemay solely or additionally assert device history bound informationdirectly. For example, some specific temperature information may beknown for the region of the IC where the inputs apply, and this couldalso affect device history. A propagated signal history may also includeinformation from which specific signal switching or duty cycle boundsmay be deduced, e.g., whether a signal is a clock or data signal, orwhether a clock signal is free running or potentially gated.

In a common case of a bounded signal history, a free running clocksignal (one that oscillates continuously when the part is turned on)will typically have both upper and lower bounds of approximately 50% ofits duty cycle. Such a clock signal will also typically have upper andlower bounds on its switching frequency equal to twice the clockfrequency at which the clock oscillates (the signal has one rising andone falling transition during every clock period). Default history boundassumptions may apply to all signals that are not fed by other signals(e.g., primary inputs) and that do not have other explicit historybounds asserted. Typical default duty cycle bounds are from 0.0 (thesignal is never high) to 1.0 (the signal is always high). Typicaldefault switching frequency bounds are from 0.0 (the signal neverswitches) to the clock frequency (the signal switches once every clockperiod).

In step 210, device history bounds are determined from signal historybounds, and signal history bounds are propagated throughout theintegrated circuit design. Such propagation may be limited to signalsthat are fed by other signals for which history bounds have beenasserted or to which they have been propagated. Propagation may alsotypically terminate when a signal is reached for which a historyassertion was input in step 200.

In step 220, the history bounds may be used to determine minimum andmaximum delays for elements of the integrated circuit design. The mannerin which delays are determined from history bounds depends on thetype(s) of device history used and the history based delay variationtype(s) being modeled. Methods for computing delays given particulardevice histories for PD-SOI devices, hot carrier effects, NBTI effects,and self-heating and other effects are known to those skilled in theart, and delay bounds may be computed by computing history-dependentdelays at each extreme of the device history bounds. Finally, in step230, these minimum and maximum delays are used in STA. These minimum andmaximum delays may also be used in other contexts in which circuitdelays are used, such as delay simulation or delay fault analysis. Insome of these other applications, a single delay may be required ratherthan delay bound, in which case the minimum, maximum, mean, or otherfunction of the delay bounds may be used.

Although steps 210, 220, and 230 are shown as separate, both historypropagation of step 210 and the STA of step 230 require propagation ofvalues (history bounds and arrival times respectively) throughout theintegrated circuit design, and may be combined in a single traversal,with history bounds, delay bounds, and arrival times being computed fora particular gate or signal before computing these values on the gatesit feeds.

The signal history propagation of step 210 is shown in further detail inFIG. 3. As mentioned above, other configurations are not precluded bythis description of exemplary embodiments. For each segment processedduring a forward propagation step of block based static timing analysis(step 300), the following evaluations may be performed. In step 310, anevaluation may be made as to whether any input signal to the currentsegment may have a bounded history, either propagated or asserted. If atleast one segment input may have a bounded history, the method proceedsto step 320. If no input of the segment has a bounded history, themethod continues to step 350, where the default signal history boundsare used (these will result in the full range of possible history baseddelay variability in step 220 of FIG. 2). In this case, no devicehistory bound computation or signal history bound propagation isrequired, and the method proceeds to step 360 where a determination ismade as to whether there are any more delay segments to be considered.If so, the process returns to step 300 to process the next segment,otherwise it proceeds to step 370, terminating step 210 of FIG. 2 andproceeding to step 220.

In step 320, an evaluation occurs to compute the device history boundsfor the devices comprising the segment delay. The specific devicehistory and the manner in which it is computed from signal historieswill depend on history based delay effects being modeled. For PD-SOIdevices, this could be the range of possible charges or voltages on thedevice body. For NBTI or hot carrier effects, this could be the range ofpossible threshold voltage shifts caused by these effects. Forself-heating this could be the range of possible temperatures of thedevice. Means for determining a device parameter (e.g., body charge,threshold voltage shift, or temperature) as a result of a particular setof signal histories (e.g., duty cycles or switching frequencies) onsignals connected to the device are known to those skilled in the art.Bounds on device history can be computed by computing the relevantdevice parameter(s) at the extremes if the signal histories for thesignals connected to the device.

In step 330, an evaluation may be made as to whether a condition existswhich terminates the propagation of the signal history bounds. If thesegment is found to have a terminating condition, the method continuesto step 350. An example of a terminating condition in the PD SOI casewould be the identification of a signal gating element which is capableof terminating the propagation of the necessary duty cycle information,introducing uncertainty regarding the duty cycle downstream from thatelement. An alternate example in the PD SOI case would be a user definedassertion indicating that the current segment terminates the propagationof bounded history, although it otherwise would not appear to do so, tofacilitate certain design constraints (e.g., during hierarchical timing,in instances where only a subset of the design is being timed, and thesignal coming on chip is known to be gated). This same example appliesfor termination of history bound propagation in the temperature basedfluctuation, NBTI, and hot-carrier cases, as they similarly introduceuncertainty into the state of the signal history bounds. There may alsobe additional, case specific instances, for example bound propagationmay be terminated for temperature based fluctuations if the signalenters some portion of the design that is known to be temperaturecontrolled. A propagation continuation assertion may also be made on asegment, indicating that a condition that would normally terminatehistory propagation should be ignored, allowing the history propagationto continue through the segment.

If the segment is not found to have a terminating condition, the methodcontinues to step 340, in which signal history bounds for the segmentoutput are computed and propagated. Signal history may also includeother information which can be used in computing and propagating signalhistories of other signals. For example, signal transition at an inputof an AND gate output cannot switch when another of its inputs is zero,and hence an upper bound on a duty cycle of an input to such a gate maybe used in computing an upper bound on switching rate of the gateoutput. An example of an output signal history computation for dutycycle bounds affecting PD-SOI or hot carrier effects would be for anelement that changes the duty cycle of an input signal in a controlledmanner, e.g., gating off a clock (blocking propagation of clock signaltransitions by forcing it to be held at zero or at one) for powerreduction, causing a change in the device history bounds. If a clocksignal which has a 50% duty cycle when free running is gated off bybeing forced to zero for some unknown fraction of the time, duty cyclebounds from 0% to 50% may be deduced for the clock signal. Similarly, ifsuch a 50% duty cycle free running clock is gated off by being forced toone for some unknown fraction of the time, duty cycle bounds from 50% to100% may be deduced for the clock signal. If bounds on the fraction oftime that the clock is gated off over the relevant time period for thehistory effect being modeled are known, further refinement of the dutycycle bounds for the clock may be determined. Clock gating will alsomodify switching rate bounds used for NBTI and self-heating historyeffects. For effects such as PD-SOI history and self-heating in whichthe influence of history decays over time, the frequency of the inputsignal may contribute to the signal history. For a free running clockoperating at a frequency greater than the reciprocal of the timeconstant for the PD-SOI body charge to vary once a steady statecondition has been reached, hereafter referred to as the thresholdfrequency, there is no device history based delay variation. Under theseconditions the slower acting effects of PD-SOI have reached steady stateand are no longer varying, as they are balanced by the faster actingeffects, which remain saturated above the threshold frequency. As thefrequency decreases or as the signal periodicity varies below somethreshold, the device history based delay variation increases, and mustbe accounted for during STA.

After the signal history bound propagation of step 340 is finished, themethod proceeds to step 360 to determine whether other segments need tobe processed.

Although steps 320 and 340 are shown as discrete steps, the delaymodeling used to compute delay bounds in step 220 of FIG. 2 may insteadmodel delay directly as a function of signal history, eliminating theneed for the separate device history computation of step 320. Also,rather than requiring separate delay bound modeling to be performed forevery possible signal history bound or resulting device history bound,delays or delay bounds may be pre-characterized as part of a delay modelfor particular history conditions. In the simplest case, the defaultdelay models would be generated under steady state conditions of a freerunning clock with 50% duty cycle and frequency greater than or equal tothe threshold frequency, and any additional history based delayvariation that results in deviation from this state would be defined asthe PD-SOI history effect delay contribution. Under these conditions thehistory bounds propagated could include: 1) information indicating ifthe signal is free running, and if so, 2) frequency information. If thesignal is flagged as free running and is operating above the thresholdfrequency, any additional history based delay component may be totallyeliminated for the current segment, as it is known that this variabilitydoes not exist. Alternatively, a function could be passed that maps thelevel of history based delay variability to frequency, which wouldprovide full variability at low frequency and no variability above thethreshold frequency with appropriate intermediate values, and thisfunction would be applied to all free running signals to determine theappropriate history based delay contribution. In an alternativeembodiment, the default condition under which no additional devicehistory delay contribution is applied may not correspond to the steadystate condition; it may instead, e.g., represent the condition whichresults in the slowest or fastest possible switching condition, e.g., aconstant one (100% duty cycle) or zero (0% duty cycle) condition, toarrive at the fast/slow delays required for timing test race conditions.In this alternative embodiment, at least one additional delaycharacterization would preferably take place under steady stateconditions (either one characterization above the threshold frequency,or multiple characterizations over a range including one above thethreshold frequency). This information may be used to model thedifference between the default modeled delay and the delay as it existsunder free running conditions. This can then be applied to adjust thehistory based delay component to the appropriate propagated condition.Similar measurements would take place for temperature, NBTI, and hotcarrier based delay variation to map the propagated bound information tothe appropriate level of delay variation.

In illustrative embodiments, the specific adjustment applied to thedevice history based delay component may occur at any level ofgranularity available in STA, for example the adjustments may be global,delay mode specific, analysis mode specific, device family specific,clock phase specific, or instance specific. The history adjustment mayoccur via scaling, additive or subtractive operations, or otheroperations that alter the value of the history based component of delayvariation. The history adjustment factors are assumed to be known, andmay be obtained during model characterization, from separate simulation,from hardware measurement, or from some other analytic or heuristicapproach.

The terminology used herein is for the purpose of describing particularembodiments only and is not intended to be limiting of the disclosure.As used herein, the singular forms “a”, “an” and “the” are intended toinclude the plural forms as well, unless the context clearly indicatesotherwise. It will be further understood that the terms “comprises”and/or “comprising,” when used in this specification, specify thepresence of stated features, integers, steps, operations, elements,and/or components, but do not preclude the presence or addition of oneor more other features, integers, steps, operations, elements,components, and/or groups thereof.

The corresponding structures, materials, acts, and equivalents of allmeans or step plus function elements in the claims below are intended toinclude any structure, material, or act for performing the function incombination with other claimed elements as specifically claimed. Thedescription of the present disclosure has been presented for purposes ofillustration and description, but is not intended to be exhaustive orlimited to the disclosure in the form disclosed. Many modifications andvariations will be apparent to those of ordinary skill in the artwithout departing from the scope and spirit of the disclosure. Theembodiment was chosen and described in order to best explain theprinciples of the disclosure and the practical application, and toenable others of ordinary skill in the art to understand the disclosurefor various embodiments with various modifications as are suited to theparticular use contemplated.

1. A computer-implemented method for adjustment of history-based delayvariation during static timing analysis of an integrated circuit design,the method comprising: obtaining information through sources ofvariability, including at least one of characterization and simulation,of one or more history-based components of delay variability, and arelationship between the sources of variability and one or more boundeddevice histories; inputting history bounds for at least one signal ofthe integrated circuit design; computing and propagating history boundsthrough at least one first segment of the integrated circuit design toat least one signal of the integrated circuit design using at least onecomputing device; evaluating from at least one of the propagated historybounds, device history bounds for at least one second segment of theintegrated circuit design; and based on the evaluated device historybounds, adjusting, using the at least one computing device, at least oneof a value of the history-based delay variability and propagation oftiming through additional segments of the integrated circuit design. 2.The method of claim 1, wherein the step of computing and propagatinghistory bounds includes determining whether a propagation terminatingcondition exists for the at least one first segment.
 3. The method ofclaim 2, further comprising proceeding directly to an evaluation oftiming through the at least one first segment using a default historyvalue in response to the at least one first segment being determined tohave a propagation terminating condition.
 4. The method of claim 2,wherein the step of determining whether a propagation terminatingcondition exists includes at least one of determining whether apropagation termination assertion exists, and determining whether apropagation continuation assertion overrides a normally terminatingcondition.
 5. The method of claim 1, wherein the step of computing andpropagating history bounds includes modifying a signal historypropagated through the at least one first segment.
 6. The method ofclaim 1, further comprising continuing to a next segment and repeatingat least one of the evaluations for the next segment.
 7. The method ofclaim 1, further comprising processing the segments during forwardpropagation of block based static timing analysis, wherein in responseto the segments processed during forward propagation of block basedstatic timing analysis being evaluated to not have a bounded history,further comprising proceeding directly to an evaluation of timingthrough the segments using a default history value.
 8. The methods ofclaim 1, further comprising a step of history adjustment, wherein thehistory adjustment is at least one of global, delay mode specific,analysis mode specific, device family specific, clock phase specific,and instance specific.
 9. The method of claim 1, wherein the one or morehistory-based components of delay variability includes PD-SOI bodycharge based delay variability.
 10. The method of claim 1, wherein theone or more history-based components of delay variability includes NBTIbased delay variability.
 11. The method of claim 1, wherein the one ormore history-based components of delay variability includes self-heatingbased delay variability.
 12. The method of claim 1, wherein the one ormore history-based components of delay variability includes hot carrierbased delay variability.
 13. A program product stored on anon-transitory computer readable medium, which when executed, providesfor adjustment of history-based delay variation during static timinganalysis of an integrated circuit design, the program productcomprising: program code for obtaining information through sources ofvariability, including at least one of characterization and simulation,of one or more history-based components of delay variability, and arelationship between the sources of variability and one or more boundeddevice histories; program code for inputting history bounds for at leastone signal of the integrated circuit design; program code for computingand propagating history bounds through at least one first segment of theintegrated circuit design to at least one signal of the integratedcircuit design; program code for evaluating from at least one of thepropagated history bounds, device history bounds for at least one secondsegment of the integrated circuit design; and program code for, based onthe evaluated device history bounds, adjusting at least one of a valueof the history-based delay variability and propagation of timing throughadditional segments of the integrated circuit design.
 14. The programproduct of claim 13, further comprising program code for determiningwhether a propagation terminating condition exists for the at least onefirst segment when computing and propagating history bounds.
 15. Theprogram product of claim 13, further comprising program code formodifying a signal history propagated through the at least one firstsegment when computing and propagating history bounds.
 16. The programproduct of claim 13, further comprising program code for continuing to anext segment and repeating at least one of the evaluations for the nextsegment.
 17. The program product of claim 13, further comprising programcode processing the segments during forward propagation of block basedstatic timing analysis, wherein in response to the segments processedduring forward propagation of block based static timing analysis beingevaluated to not have a bounded history, further comprising proceedingdirectly to an evaluation of timing through the segments using a defaulthistory value.
 18. The program product of claim 13, further comprisingprogram code for history adjustment, wherein the history adjustment isat least one of global, delay mode specific, analysis mode specific,device family specific, clock phase specific, and instance specific. 19.The program product of claim 13, further wherein the one or morehistory-based components of delay variability includes at least one ofNBTI based delay variability, self-heating based delay variability, andhot carrier based delay variability.
 20. A system for adjustment ofhistory based delay variation during static timing analysis, the systemcomprising: a processor; a memory; and a static timing engine stored inthe memory and operable to be executed by the processor, wherein thestatic timing engine is structured to: obtain information throughsources of variability, including at least one of characterization andsimulation, of one or more-history based components of delayvariability, and a relationship between the sources of variability andone or more bounded device histories; input history bounds for at leastone signal of an integrated circuit design; compute and propagatehistory bounds through at least one first segment of the integratedcircuit design to at least one signal of the integrated circuit design;evaluate from at least one of the propagated history bounds, devicehistory bounds for at least one second segment of the integrated circuitdesign; and based on the evaluated device history bounds, adjust atleast one of a value of the history-based delay variability andpropagation of timing through additional segments of the integratedcircuit design.